A New Piecewise Chaotic Mapping and Its Application in Image Secure Communication

Traditional Logistic chaotic sequence as well as its modified sequence is not ideal in terms of ergodicity and randomness. To solve this problem, a new piecewise Logistic chaotic was presented based on the analysis of the randomness, correlation, initial sensitivity and Lyapunov exponents of the referred chaotic sequences. Then the corresponding spread spectrum communication algorithm was proposed. Since the chaotic sequence has the characteristics of rich sequences and good confidentiality so we applied it to image cipher communication field. The simulation results show that the algorithm greatly improved the error rate and confidentiality in the spread spectrum communication compared to the Traditional Logistic Chaotic Sequence and its modified sequence, which proved that the algorithm mentioned in this article is effective.